Pregled bibliografske jedinice broj: 906018
Finding unitals in symmetric designs using a modified genetic algorithm
Finding unitals in symmetric designs using a modified genetic algorithm // Mathematica Pannonica, 24 (2013), 183-196 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 906018 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Finding unitals in symmetric designs using a modified genetic algorithm
Autori
Crnković, Dean ; Dumičić Danilović, Doris
Izvornik
Mathematica Pannonica (0865-2090) 24
(2013);
183-196
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
symmetric design ; unital ; genetic algorithm
Sažetak
We present an algorithm for finding unitals as subdesigns of symmetric designs. Further, we employ this algorithm to find unitals in symmetric (66, 26, 10) designs. This problem is here formulated as a combinatorial optimization problem whose solutions are binary matrices. Using the modified genetic algorithm (MGA) we have found eleven new 2-(11, 5, 10) designs (unitals) in the symmetric (66, 26, 10) design admitting an automorphism of order 55. In addition, we have found 63 new unitals in the symmetric (36, 15, 6) design with the full automorphism group of order 42.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
